240191291872 has 192 divisors, whose sum is σ = 561428195328. Its totient is φ = 99021312000.

The previous prime is 240191291861. The next prime is 240191291897. The reversal of 240191291872 is 278192191042.

It is a super-2 number, since 2×240191291872² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217761273 + ... + 217762375.

It is an arithmetic number, because the mean of its divisors is an integer number (2924105184).

Almost surely, 2^240191291872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240191291872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280714097664).

240191291872 is an abundant number, since it is smaller than the sum of its proper divisors (321236903456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240191291872 is a wasteful number, since it uses less digits than its factorization.

240191291872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 240191291872 in words is "two hundred forty billion, one hundred ninety-one million, two hundred ninety-one thousand, eight hundred seventy-two".